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We prove that, given a certain isometric action of a two-dimensional Abelian group A on a quaternionic K\"ahler manifold M which preserves a submanifold N\subset M, the quotient M'=N/A has a natural K\"ahler structure.
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D.V. Alekseevsky, V. Cortés and C. Devchand, Special complex manifolds
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P. Gauduchon, A. Moroianu and U. Semmelmann, Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces
2011
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2001
Cited alongside, same era.
D.V. Alekseevsky, V. Cortés, C. Devchand and A. Van Proeyen, Flows on quaternionic-Kähler and very special real manifolds
Cited in the paper.
V. Cortés and K. Hasegawa, Skew-symmetric complex structures on Hermitian symmetric spaces of noncompact type
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V. Cortés, T. Mohaupt and H. Xu, Completeness in supergravity constructions
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J. Louis, Aspects of spontaneous N = 2 to N = 1 breaking in supergravity
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